35 citations · 127 across the 12 of their papers we have counts for
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Generalized Heisenberg algebra coherent states for Power-law potentials
Kamal Berrada, Morad El Baz, Yassine Hassouni
Coherent states for power-law potentials are constructed using generalized Heisenberg algabras. Klauder's minimal set of conditions required to obtain coherent states are satisfied…
n=3 Nilpotent differential calculus on some non-commutative (super) spaces
M. El Baz, A. El Hassouni, Y. Hassouni +1
In this paper, we construct a covariant differential calculus on quantum plane with two-parametric quantum group as a symmetry group. The two cases and are completl…
Deformed exterior algebra, Quons and related Coherent States
M. El Baz, Y. Hassouni
We review the notion of the deformation of the exterior wedge product. This allows us to construct the deformation of the algebra of exterior forms over a vector space and also ove…
Z3-graded Grassmann Variables, Parafermions and their Coherent States
M. El Baz, Y. Hassouni, F. Madouri
A relation between the -graded Grassmann variables and parafermions is established. Coherent states are constructed as a direct consequence of such a relationship. We also giv…
Special Deformed Exponential Functions Leading to More Consistent Klauder's Coherent States
M. El Baz, Y. Hassouni
We give a general approach for the construction of deformed oscillators. These ones could be seen as describing deformed bosons. Basing on new definitions of certain quantum series…
On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators
M. El Baz, Y. Hassouni, F. Madouri
A dynamical algebra , englobing many of the deformed harmonic oscillator algebras is introduced. One of its special cases is extensively developed. A general method for…